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4b: Use formulas and strategies, such as decomposition, to compute the perimeter and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex shapes. (DOK 2) By: Deia Sanders

4b area of polygons

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Page 1: 4b area of polygons

4b: Use formulas and strategies, such as decomposition, to compute the perimeter

and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex

shapes. (DOK 2)

By: Deia Sanders

Page 2: 4b area of polygons

PerimeterThe Perimeter of a polygon is the distance around it.

Because a square and a rectangle are special types of polygons, they have a special perimeter formula. The

triangle and any other unknown-sided polygon will use the “sum of all the sides” as the formula.

Square = 4s (s is the length of the side)Rectangle = 2(l + w) (l is the length and w is the width)

All other polygons = add the sides

Page 3: 4b area of polygons

Let’s Review

Examples on Page

66

Page 4: 4b area of polygons

Homework:

Handout #1 Page 93

Page 5: 4b area of polygons

Day 2

Area of

Polygons

!!!

Page 6: 4b area of polygons

Area of Polygons

Triangle: A = ½ bh

Parallelogram: A = bh

Square: A = s2

Rectangle: A = lw

Page 7: 4b area of polygons

Let’s work

examples

on pages 67-69

Page 8: 4b area of polygons

Homework

Handout #2 Page 95

Page 9: 4b area of polygons

Day 3

Area of

Trapezoids!

!!

Page 10: 4b area of polygons

Area of Trapezoid

Trapezoid: 1/2h(b1 + b2)

Page 11: 4b area of polygons

Let’s work

examples on

pages 69-72!!

Page 12: 4b area of polygons

Homework

Handout #3 Page 97

Page 13: 4b area of polygons

Day 4

Circumferen

ce and Area

of Circles!!!

Page 14: 4b area of polygons

Circumference of a Circle

Circumference: C = pi(d)

Circumference is the distance around a

circle

Let’s look at page 73!

Page 15: 4b area of polygons

Area of a Circle

The area of a circle is the region or space inside the circle. The measurement will be measured in square units.

Let’s look at page 73!

Page 16: 4b area of polygons

Homework

Handout #4

Page 99

Page 17: 4b area of polygons

Day 5

Irregular

Polygons!!!

Page 18: 4b area of polygons

Irregularly Shaped Polygons

Step 1. Break down the original figure into more basic shapes, such as squares, rectangles, triangles, or circles.

Step 2. Find the area of the basic shapes using the formulas.

Step 3. Combine the areas of the basic shapes so that the area of the irregularly shaped polygon can be determined.

Page 19: 4b area of polygons

Lets look at

pages 74

and 75!!!

Page 20: 4b area of polygons

Homework

Handout #5Page 101